Sound WavesHard
Question
A tuning fork of frequency 340Hz is vibrate just above the tube of 120 cm height. Water is poured slowly in the tube. What is the minimum height of water necessery for the resonance?
Options
A.45 cm
B.30 cm
C.40 cm
D.25 cm
Solution
We have v = vλ
or λ =
= 1m
First resonating length,.
l1 =
m = 25 cm
second resonating legth,
l2 =
= 75 cm
Third resonating length,
l3 =
= 125 cm
So third resonance is not possible since the length of the tube is 120 cm.
∴ Minimum height of water necessary for resonance = 120 = 75 = 45cm.
or λ =
= 1mFirst resonating length,.
l1 =
m = 25 cmsecond resonating legth,
l2 =
= 75 cmThird resonating length,
l3 =
= 125 cmSo third resonance is not possible since the length of the tube is 120 cm.
∴ Minimum height of water necessary for resonance = 120 = 75 = 45cm.
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